Artículos de revistas
Subresultants, sylvester sums and the rational interpolation problem
Fecha
2015-06Registro en:
D'Andrea, Carlos; Krick, Teresa Elena Genoveva; Szanto, Agnes; Subresultants, sylvester sums and the rational interpolation problem; Elsevier; Journal Of Symbolic Computation; 68; Part 1; 6-2015; 72-83
0747-7171
CONICET Digital
CONICET
Autor
D'Andrea, Carlos
Krick, Teresa Elena Genoveva
Szanto, Agnes
Resumen
We present a solution for the classical univariate rational interpolation problem by means of (univariate) subresultants. In the case of Cauchy interpolation (interpolation without multiplicities), we give explicit formulas for the solution in terms of symmetric functions of the input data, generalizing the well-known formulas for Lagrange interpolation. In the case of the osculatory rational interpolation (interpolation with multiplicities), we give determinantal expressions in terms of the input data, making explicit some matrix formulations that can independently be derived from previous results by Beckermann and Labahn.